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Stability of quantum spins in a magnetic field

✍ Scribed by N. Burić

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
171 KB
Volume
51
Category
Article
ISSN
0015-8208

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✦ Synopsis

Abstract

Continuous representations of the dynamical $SU(2)$ group, and the corresponding generalized coherent states, are used to conjugate dynamics of a system of quantum spins to that of a classical Hamiltonian system. Stability of the Hamiltonian system obtained are studied, using linear stability analyses and results from the perturbation theory. Quantum evolution of any of the compound‐spins components is described exactly by classical Hamilton's equations. No semiclassical asymptotics in the analyses or explicit time‐dependence has been involved.

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